Question

subtract.
(5 - i) - (-5i)
write your answer as a complex number in standard form.

Explanation:

Step1: Remove parentheses

To subtract the complex numbers, we first remove the parentheses. Remember that subtracting a negative is like adding a positive, so \((5 - i) - (-5i)\) becomes \(5 - i + 5i\).

Step2: Combine like terms

Now we combine the imaginary parts. The real part is \(5\), and the imaginary parts are \(-i\) and \(+5i\). Combining \(-i + 5i\) gives \(4i\). So the expression simplifies to \(5 + 4i\).

Answer:

\(5 + 4i\)